Krein-von Neumann extension of an even order differential operator on a finite interval

Opuscula Mathematica

Yaroslav I. Granovskyi¹ 

关键词: non-negative extension;    Friedrichs' extension;    Krein-von Neumann extension;    boundary triple;    Weyl function;   

DOI  :  10.7494/OpMath.2018.38.5.681

学科分类：数学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

We describe the Krein-von Neumann extension of minimal operator associated with the expression \(\mathcal{A}:=(-1)^n\frac{d^{2n}}{dx^{2n}}\) on a finite interval \((a,b)\) in terms of boundary conditions. All non-negative extensions of the operator \(A\) as well as extensions with a finite number of negative squares are described.

【 授权许可】

Free